It just depends upon your aims. If you're trying to convey an idea in hopes of transferring knowledge then yes -- write like you would talk to ease the others' cognitive load. If you're a fantasy writer, it would get pretty drab pretty fast if you spoke to me like how most people speak to me. In fact, it'd be downright boring if you structured all dialogue between characters in such a manner. You need the pomp to mak…
> If you're trying to convey an idea in hopes of transferring knowledge then yes -- write like you would talk to ease the others' cognitive load. Even for transferring knowledge, it depends a lot on what knowledge you're trying to transfer, and to whom. In scientific writing, the more pop-science the goal of the article, the more conversational the style should be, and vice-versa. In a paper by someone in my field wr…
I wouldn't say that in conversation. I'd say something like: "consider three integers, with a squared plus b squared equals c".
And in writing, I'd go for something like: "consider a, b, c ∈ ℤ, such that a² + b² = c". Which isn't far off.